Search Results

• Long-Time Oscillatory Energy Conservation of Total Energy-Preserving Methods for Highly Oscillatory Hamiltonian Systems

  Bin Wang, Xinyuan Wu

  2021-11-19

  41111 3928 Pages:70-88

• On Energy Conservation by Trigonometric Integrators in the Linear Case with Application to Wave Equations

  Ludwig Gauckler

  2020-11-09

  41774 2875 Pages:705-714

• A Scalar Auxiliary Variable (SAV) Finite Element Numerical Scheme for the Cahn-Hilliard-Hele-Shaw System with Dynamic Boundary Conditions

  Changhui Yao, Fengdan Zhang, Cheng Wang

  2024-01-16

  25639 2225 Pages:544-569

• Multisymplectic Fourier Pseudospectral Method for the Nonlinear Schrödinger Equations with Wave Operator

  Jian Wang

  2018-08-15

  285 146 Pages:31-48

• An Explicit Multi-Conservation Finite-Difference Scheme for Shallow-Water-Wave Equation

  Bin Wang

  2018-08-07

  31916 3602 Pages:404-409

• Analysis of Arbitrary High Order Spectral Volume Method for Hyperbolic Conservation Laws over Rectangular Meshes

  Waixiang Cao, Zhimin Zhang, Qingsong Zou

  2025-09-05

  558 39 Pages:843–870

• Two Novel Classes of Arbitrary High-Order Structure-Preserving Algorithms for Canonical Hamiltonian Systems

  Yonghui Bo, Wenjun Cai, Yushun Wang

  2023-04-25

  30948 2937 Pages:395-414

• Finite Element Method with Superconvergence for Nonlinear Hamiltonian Systems

  Chuanmiao Chen, Qiong Tang, Shufang Ru

  2018-08-22

  34189 3691 Pages:167-184

• Convergence of an Explicit Upwind Finite Element Method to Multi-Dimensional Conservation Laws

  Jin-Chao Xu, Lung-An Ying

  2001-02-02

  34286 3999 Pages:87-100

• A Multiple-Invariants Preserving Scheme for Modified Two-Component Euler-Poincaré Equations

  Boya Zhou, Ruimin Gao, Qifeng Zhang

  2026-03-02

  94 62

• A Linearly-Implicit Structure-Preserving Exponential Time Differencing Scheme for Hamiltonian PDEs

  Yayun Fu, Dongdong Hu, Wenjun Cai, Yushun Wang

  2024-04-09

  26617 2021 Pages:1063-1079

• A Linearly-Implicit Energy-Preserving Algorithm for the Two-Dimensional Space-Fractional Nonlinear Schrödinger Equation Based on the SAV Approach

  Yayun Fu, Wenjun Cai, Yushun Wang

  2023-05-08

  41420 3152 Pages:797-816

• The Calculus of Generating Functions and the Formal Energy for Hamiltonian Algorithms

  Kang Feng

  2021-07-01

  33160 3671 Pages:481-498

• Conservative Conforming and Nonconforming VEMs for Fourth Order Nonlinear Schrödinger Equations with Trapped Term

  Meng Li, Jikun Zhao, Zhongchi Wang, Shaochun Chen

  2024-01-16

  26402 2302 Pages:454-499

• A Note on Conservation Laws of Symplectic Difference Schemes for Hamiltonian Systems

  Kang Feng, Dao-Liu Wang

  1991-09-01

  34181 3530 Pages:229-237

• A Decoupled, Linearly Implicit and Unconditionally Energy Stable Scheme for the Coupled Cahn-Hilliard Systems

  Dan Zhao, Dongfang Li, Yanbin Tang, Jinming Wen

  2024-11-21

  16348 1566 Pages:708-730

• Uniform Error Bounds of a Conservative Compact Finite Difference Method for the Quantum Zakharov System in the Subsonic Limit Regime

  Gengen Zhang, Chunmei Su

  2023-12-01

  28279 2565 Pages:289-312

• The Structure-Preserving Methods for the Degasperis-Procesi Equation

  Yuze Zhang, Yushun Wang, Yanhong Yang

  2019-04-29

  41189 3215 Pages:475-487

• Stability and Convergence Analysis of Second-Order Schemes for a Diffuse Interface Model with Peng-Robinson Equation of State

  Qiujin Peng, Zhonghua Qiao, Shuyu Sun

  2021-07-01

  36652 3773 Pages:737-765

• Optimal Point-Wise Error Estimate of a Compact Finite Difference Scheme for the Coupled Nonlinear Schrödinger Equations

  Tingchun Wang

  2018-08-22

  37650 4359 Pages:58-74

• A Finite Difference Scheme for the Generalized Nonlinear Schrödinger Equation with Variable Coefficients

  WZ Dai, R Nassar

  2000-04-02

  32241 3525 Pages:123-132

• Convergence of Numerical Schemes for a Conservation Equation with Convection and Degenerate Diffusion

  R. Eymard, C. Guichard, Xavier Lhébrard

  2021-04-07

  41948 3276 Pages:428-452

• A Fourth-Order Compact and Conservative Difference Scheme for the Generalized Rosenau-Korteweg de Vries Equation in Two Dimensions

  Jue Wang, Qingnan Zeng

  2019-04-29

  39981 2975 Pages:541-555

• Local Structure-Preserving Algorithms for the KdV Equation

  Jialing Wang, Yushun Wang

  2018-08-22

  36360 2896 Pages:289-318